Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #11746741 | C2 | semidirect |
| 240. C3×C5 | #1526 | semidirect |
| 277. C5 | #71821 | semidirect |
| 290. C3 | #10604634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66062 | 2 |
| C4×#6758 | 2 |
| #11746741 | 2 |
| #10604634 | 3 |
| #71821 | 5 |